论文信息 - A Monte Carlo method applied to the Heisenberg ferromagnet

A Monte Carlo method applied to the Heisenberg ferromagnet

Following on from a previous paper (5), we apply the new Monte Carlo method described there to the estimation of order parameters of a simple Heisenberg ferromagnet. By way of illustration, we include some results on the simple cubic lattice, comparing them with results obtained by conventional methods.

D. C. Handscomb | D. Handscomb

[1] F. Dyson. Thermodynamic Behavior of an Ideal Ferromagnet , 1956 .

[2] Kai Lai Chung,et al. Markov Chains with Stationary Transition Probabilities , 1961 .

[3] G. S. Rushbrooke,et al. On the Curie points and high temperature susceptibilities of Heisenberg model ferromagnetics , 1958 .

[4] E. Ising. Beitrag zur Theorie des Ferromagnetismus , 1925 .

[5] D. Handscomb,et al. Computation of Order Parameters in an Ising Lattice by the Monte Carlo Method , 1960 .

[6] W. Heisenberg. Zur Theorie des Ferromagnetismus , 1928 .

[7] D. Handscomb. The Monte Carlo method in quantum statistical mechanics , 1962, Mathematical Proceedings of the Cambridge Philosophical Society.

[8] L. Fosdick. Calculation of Order Parameters in a Binary Alloy by the Monte Carlo Method , 1959 .

[9] W. Heitler. The Principles of Quantum Mechanics , 1947, Nature.

[10] G. S. Rushbrooke,et al. RESEARCH NOTES: On the High Temperature Susceptibility for the Heisenberg Model of a Ferromagnetic , 1955 .

[11] N. Metropolis,et al. Equation of State Calculations by Fast Computing Machines , 1953, Resonance.